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How to solve quadratic functions that contain fractions?

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2 Answers

What is the best way to solve a quadratic equation that contains fractions? An example is 1/2x^2 - 2x = 3/2.
 
I multiply both sides by a number that gets rid of the denominators of all the fractions. E.g.,
 
Multiply your example by 2 on both sides:
 
x^2 – 4x = 3
 
x^2 – 4x – 3 = 0
 
Using Quadratic Formula:
 
x = (4 ± √(16–4(1)(–3)))/(2(1))
 
x = 2 ± √(4–(1)(–3))
 
x = 2 ± √(7)